#### Question

Establish the following vector inequalities geometrically or otherwise:

(a) |**a ***+ ***b**| ≤ |**a**| + |**b**|

(b) |**a ***+ ***b**| ≥ ||**a**| − |**b**||

(c) |**a ***− ***b**| ≤ |**a**| + |**b**|

(d) |**a ***− ***b**| ≥ ||**a**| − |**b**||

When does the equality sign above apply?

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#### Reference Material

Solution for question: Establish the Following Vector Inequalities Geometrically Or Otherwise: When Does the Equality Sign Above Apply? concept: Scalars and Vectors. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)